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Understanding the role of recovery in default risk models: empirical comparisons and implied recovery rates

Author

Listed:
  • Gurdip Bakshi
  • Dilip B. Madan
  • Frank X. Zhang

Abstract

This article presents a framework for modeling defaultable debt under alternative recovery conventions (for a wide class of processes describing recovery rates and default probability). These debt models have the ability to differentiate the impact of recovery rates and default probability, and can be utilized to invert the market expectation of recovery rates implicit in bond prices. Among potential applications, the framework can be used for pricing and hedging credit derivatives that are contingent on the default event and/or recovery levels. Empirical implementation of these models suggests two central findings. First, the recovery concept that specifies recovery as a fraction of the discounted par value has broader empirical support. Second, parametric debt valuation models can provide a useful assessment of recovery rates embedded in bond prices. This article has attempted to model recovery and comprehend their impact on debt values.

Suggested Citation

  • Gurdip Bakshi & Dilip B. Madan & Frank X. Zhang, 2001. "Understanding the role of recovery in default risk models: empirical comparisons and implied recovery rates," Finance and Economics Discussion Series 2001-37, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgfe:2001-37
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    References listed on IDEAS

    as
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    8. Pierre Collin‐Dufresne & Bruno Solnik, 2001. "On the Term Structure of Default Premia in the Swap and LIBOR Markets," Journal of Finance, American Finance Association, vol. 56(3), pages 1095-1115, June.
    9. Bakshi, Gurdip & Madan, Dilip, 2000. "Spanning and derivative-security valuation," Journal of Financial Economics, Elsevier, vol. 55(2), pages 205-238, February.
    10. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," The Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
    11. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    12. Hua He, 2000. "Modeling Term Structures of Swap Spreads," Yale School of Management Working Papers ysm150, Yale School of Management, revised 01 Mar 2001.
    13. Robert Jarrow, 2017. "Liquidity Risk," World Scientific Book Chapters, in: THE ECONOMIC FOUNDATIONS OF RISK MANAGEMENT Theory, Practice, and Applications, chapter 7, pages 59-68, World Scientific Publishing Co. Pte. Ltd..
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    Citations

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    Cited by:

    1. Pesaran, M. Hashem & Schuermann, Til & Treutler, Bjorn-Jakob & Weiner, Scott M., 2006. "Macroeconomic Dynamics and Credit Risk: A Global Perspective," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1211-1261, August.
    2. Frank X. Zhang, 2003. "What did the credit market expect of Argentina default? Evidence from default swap data," Finance and Economics Discussion Series 2003-25, Board of Governors of the Federal Reserve System (U.S.).
    3. Jochen R. Andritzky, 2004. "Implied Default Probabilities and Default Recovery Ratios: An Analysis of Argentine Eurobonds 2000-2002," Econometric Society 2004 Far Eastern Meetings 500, Econometric Society.
    4. Mr. Jochen R. Andritzky & Mr. Manmohan Singh, 2005. "Overpricing in Emerging Market Credit-Default-Swap Contracts: Some Evidence from Recent Distress Cases," IMF Working Papers 2005/125, International Monetary Fund.
    5. Houweling, Patrick & Vorst, Ton, 2005. "Pricing default swaps: Empirical evidence," Journal of International Money and Finance, Elsevier, vol. 24(8), pages 1200-1225, December.
    6. Jobst, Rainer & Kellner, Ralf & Rösch, Daniel, 2020. "Bayesian loss given default estimation for European sovereign bonds," International Journal of Forecasting, Elsevier, vol. 36(3), pages 1073-1091.
    7. Xin Guo & Robert A. Jarrow & Yan Zeng, 2009. "Modeling The Recovery Rate In A Reduced Form Model," Mathematical Finance, Wiley Blackwell, vol. 19(1), pages 73-97, January.
    8. Klaus Rheinberger & Martin Summer, 2008. "Credit portfolio risk and asset price cycles," Computational Management Science, Springer, vol. 5(4), pages 337-354, October.
    9. Xin Guo & Robert Jarrow & Haizhi Lin, 2008. "Distressed debt prices and recovery rate estimation," Review of Derivatives Research, Springer, vol. 11(3), pages 171-204, October.
    10. Robert Jarrow & Vikrant Tyagi, 2007. "Tax liens: a novel application of asset pricing theory," Review of Derivatives Research, Springer, vol. 10(2), pages 181-204, May.
    11. Roger WALDER, 2002. "Interactions Between Market and Credit Risk: Modeling the Joint Dynamics of Default-Free and Defaultable Bond Term Structures," FAME Research Paper Series rp56, International Center for Financial Asset Management and Engineering.
    12. Maclachlan, Iain C, 2007. "An empirical study of corporate bond pricing with unobserved capital structure dynamics," MPRA Paper 28416, University Library of Munich, Germany.
    13. Annalisa Di Clemente, 2013. "Considering the dependence between the credit loss severity and the probability of default in the estimate of portfolio credit risk: an experimental analysis," STUDI ECONOMICI, FrancoAngeli Editore, vol. 2013(109), pages 5-24.
    14. Chen, Ren-Raw & Cheng, Xiaolin & Liu, Bo, 2008. "Estimation and evaluation of the term structure of credit default swaps: An empirical study," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 339-349, December.

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    Keywords

    Credit; Risk; Econometric models;
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